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Finding the Fourth Proportional to 25,870.80, 38,806.20 and 20,233.20

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Solution

The fourth proportional to 25,870.80, 38,806.20 and 20,233.20 is: 30,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.80 : 38,806.20 = 20,233.20 : x
  2. Step 2: Convert to fraction form
    25,870.80/38,806.20 = 20,233.20/x
  3. Step 3: Cross multiply
    25,870.80x = 38,806.20 × 20,233.20
  4. Step 4: Simplify right side
    25,870.80x = 785,173,605.84
  5. Step 5: Solve for x
    x = 785,173,605.84/25,870.80
  6. Step 6: Final answer
    x = 30,349.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.